predict the products of the reaction between acidified H2O2 with potassium permanganate solution

H2O2 (l)  KMnO4 (aq)
+ 2H2O (l) + 6H+ (aq)
+ 6e-

H2O2 (l) + 2H2O (l)  KMnO4 (aq) + + 6H+ (aq) + 6e-

is this right? I'm confused. May I please get help? Is there another method that I am supposed to use, if so, could you explain?